If we take the speed of the graviton as constant, without assigning a particular speed such as c, we can then describe the motions of the particle away from a source. The expanding balloon analogy can be used. Since the direction of motion is away from the point source this gives an ever expanding sequence of spherical shells. The drop in particle density on the surfaces of successively larger shells will then follow an inverse square distribution. As a side note this says something interesting about an expanding universe.

If an interaction between the graviton and the Higgs field were to be considered a mechanism for the action of gravity then the equivalence between inertial and gravitational mass becomes a function of displacement from the origin of the field.

I am leaving the above statement about mass equivalence in. However this is wrong since the source does not change, simply the field distribution away from the source.